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Find the number of ways in which 5 boys and 5 girls may be

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Director
Joined: 03 Jul 2003
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Find the number of ways in which 5 boys and 5 girls may be [#permalink]

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06 Jan 2004, 15:04
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls are together.
Director
Joined: 14 Oct 2003
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Re: Comb - boys and girls [#permalink]

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06 Jan 2004, 15:32
Find the number of ways in which 5 boys and 5 girls may be seated in a row so that no two girls are together.

could be

G B G B G B G B G B

or

B G B G B G B G B G

thus (5! x 5!)x2 = 28,880
Director
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06 Jan 2004, 16:25
Ans: 28800 is correct!
GMAT Club Legend
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06 Jan 2004, 16:46
Yup, forgot the possibility that it could interchangeably start by a boy or a girl
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Best Regards,

Paul

Director
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09 Jan 2004, 13:26
Sorry folks!
This answer is correct if "Find the number of ways in which 5 boys and 5 girls can be seated alternately in a row?"
Ans: 28800 is correct!

The correct answer for the posted question is 86400.

09 Jan 2004, 13:26
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